Gray Code

Question

Addition of all gray code to convert decimal(0-9) into gray code is

a)129 b) 108 c) 69 d) 53

Comments

no, it can exceed 9...

for example gray code for '9' is '13'

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if simply addition of  gray code of decimal digit 0-9  that is 53.0.(0+1+3+2+6+7+5+4+12+13)

So option D is Correct .

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this is from coaching question , i am also not getting exact meaning , i just copied from there , yes given ans is 53 ..

Answer 1

D is the choice as the Grey code sum to 0 to 9
0+1+3+2+6+7+5+4+12+13
First we can write the binary digit of 0 to 9 and then convert it into grey code.

Answer 2

Let us have a look at Gray code in Decimal representation.

Decimal	Binary	Gray	Decimal (Gray to Decimal)
0	0000	0000	0
1	0001	0001	1
2	0010	0011	3
3	0011	0010	2
4	0100	0110	6
5	0101	0111	7
6	0110	0101	5
7	0111	0100	4
8	1000	1100	12
9	1001	1101	13

 

On adding the Decimal number of Gray code,

it gives , 0+1+3+2+6+7+5+4+12+13 ,

Sum as 53.